TSTP Solution File: LCL237-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL237-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 17:39:39 EDT 2022

% Result   : Unsatisfiable 0.23s 0.55s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  13 unt;   0 def)
%            Number of atoms       :   36 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  18   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f554,plain,
    $false,
    inference(resolution,[],[f519,f14]) ).

fof(f14,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f6,axiom,
    ! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f519,plain,
    ~ axiom(or(not(or(not(p),not(q))),or(not(q),not(p)))),
    inference(resolution,[],[f487,f53]) ).

fof(f53,plain,
    ! [X8,X6,X7] :
      ( theorem(or(X6,or(X7,X8)))
      | ~ axiom(or(X7,or(X6,X8))) ),
    inference(resolution,[],[f11,f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ axiom(or(not(X0),X1))
      | theorem(X1)
      | ~ axiom(X0) ),
    inference(resolution,[],[f19,f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( theorem(X3)
      | ~ axiom(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ theorem(X1)
      | ~ axiom(or(not(X1),X0))
      | theorem(X0) ),
    inference(resolution,[],[f13,f7]) ).

fof(f13,plain,
    ! [X3,X4] :
      ( ~ theorem(or(not(X4),X3))
      | theorem(X3)
      | ~ theorem(X4) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f8,axiom,
    ! [X3,X4] :
      ( ~ theorem(implies(X4,X3))
      | ~ theorem(X4)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f11,plain,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(definition_unfolding,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f487,plain,
    ~ theorem(or(not(q),or(not(or(not(p),not(q))),not(p)))),
    inference(resolution,[],[f233,f12]) ).

fof(f12,plain,
    ~ theorem(or(not(q),or(not(p),not(or(not(p),not(q)))))),
    inference(definition_unfolding,[],[f10,f6,f6,f9]) ).

fof(f9,axiom,
    ! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).

fof(f10,axiom,
    ~ theorem(implies(q,implies(p,and(p,q)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f233,plain,
    ! [X6,X7,X5] :
      ( theorem(or(X5,or(X7,X6)))
      | ~ theorem(or(X5,or(X6,X7))) ),
    inference(resolution,[],[f93,f14]) ).

fof(f93,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(X0),X1))
      | ~ theorem(or(X2,X0))
      | theorem(or(X2,X1)) ),
    inference(resolution,[],[f65,f13]) ).

fof(f65,plain,
    ! [X8,X6,X7] :
      ( theorem(or(not(or(X6,X7)),or(X6,X8)))
      | ~ axiom(or(not(X7),X8)) ),
    inference(resolution,[],[f16,f20]) ).

fof(f16,plain,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(definition_unfolding,[],[f5,f6,f6,f6]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem    : LCL237-3 : TPTP v8.1.0. Released v2.3.0.
% 0.09/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.17/0.37  % Computer : n004.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit   : 300
% 0.17/0.37  % WCLimit    : 300
% 0.17/0.37  % DateTime   : Tue Aug 30 01:44:04 EDT 2022
% 0.17/0.37  % CPUTime    : 
% 0.23/0.51  % (6879)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.53  % (6870)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.23/0.53  % (6888)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.23/0.53  % (6871)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.23/0.53  % (6880)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.23/0.53  % (6878)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.53  % (6879)Instruction limit reached!
% 0.23/0.53  % (6879)------------------------------
% 0.23/0.53  % (6879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53  % (6879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53  % (6879)Termination reason: Unknown
% 0.23/0.53  % (6879)Termination phase: Saturation
% 0.23/0.53  
% 0.23/0.53  % (6879)Memory used [KB]: 5756
% 0.23/0.53  % (6879)Time elapsed: 0.105 s
% 0.23/0.53  % (6879)Instructions burned: 3 (million)
% 0.23/0.53  % (6879)------------------------------
% 0.23/0.53  % (6879)------------------------------
% 0.23/0.54  % (6878)Instruction limit reached!
% 0.23/0.54  % (6878)------------------------------
% 0.23/0.54  % (6878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.54  % (6877)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.23/0.54  % (6865)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.23/0.54  % (6891)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.23/0.54  % (6866)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.54  % (6887)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.23/0.54  % (6892)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.23/0.54  % (6887)Refutation not found, incomplete strategy% (6887)------------------------------
% 0.23/0.54  % (6887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.54  % (6887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.54  % (6887)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.54  
% 0.23/0.54  % (6887)Memory used [KB]: 5756
% 0.23/0.54  % (6887)Time elapsed: 0.116 s
% 0.23/0.54  % (6887)Instructions burned: 1 (million)
% 0.23/0.54  % (6887)------------------------------
% 0.23/0.54  % (6887)------------------------------
% 0.23/0.55  % (6864)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.23/0.55  % (6892)Refutation not found, incomplete strategy% (6892)------------------------------
% 0.23/0.55  % (6892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.55  % (6892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.55  % (6892)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.55  
% 0.23/0.55  % (6892)Memory used [KB]: 5756
% 0.23/0.55  % (6892)Time elapsed: 0.100 s
% 0.23/0.55  % (6892)Instructions burned: 1 (million)
% 0.23/0.55  % (6892)------------------------------
% 0.23/0.55  % (6892)------------------------------
% 0.23/0.55  % (6894)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.23/0.55  % (6886)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.55  % (6888)Refutation not found, incomplete strategy% (6888)------------------------------
% 0.23/0.55  % (6888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.55  % (6888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.55  % (6888)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.55  
% 0.23/0.55  % (6888)Memory used [KB]: 5756
% 0.23/0.55  % (6888)Time elapsed: 0.122 s
% 0.23/0.55  % (6888)Instructions burned: 1 (million)
% 0.23/0.55  % (6888)------------------------------
% 0.23/0.55  % (6888)------------------------------
% 0.23/0.55  % (6867)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.23/0.55  % (6869)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.23/0.55  % (6870)First to succeed.
% 0.23/0.55  % (6869)Refutation not found, incomplete strategy% (6869)------------------------------
% 0.23/0.55  % (6869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.55  % (6869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.55  % (6869)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.55  
% 0.23/0.55  % (6869)Memory used [KB]: 5756
% 0.23/0.55  % (6869)Time elapsed: 0.129 s
% 0.23/0.55  % (6869)Instructions burned: 2 (million)
% 0.23/0.55  % (6869)------------------------------
% 0.23/0.55  % (6869)------------------------------
% 0.23/0.55  % (6865)Refutation not found, incomplete strategy% (6865)------------------------------
% 0.23/0.55  % (6865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.55  % (6865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.55  % (6865)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.55  
% 0.23/0.55  % (6865)Memory used [KB]: 1279
% 0.23/0.55  % (6865)Time elapsed: 0.124 s
% 0.23/0.55  % (6865)Instructions burned: 1 (million)
% 0.23/0.55  % (6865)------------------------------
% 0.23/0.55  % (6865)------------------------------
% 0.23/0.55  % (6870)Refutation found. Thanks to Tanya!
% 0.23/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.55  % (6870)------------------------------
% 0.23/0.55  % (6870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.55  % (6870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.55  % (6870)Termination reason: Refutation
% 0.23/0.55  
% 0.23/0.55  % (6870)Memory used [KB]: 6012
% 0.23/0.55  % (6870)Time elapsed: 0.127 s
% 0.23/0.55  % (6870)Instructions burned: 16 (million)
% 0.23/0.55  % (6870)------------------------------
% 0.23/0.55  % (6870)------------------------------
% 0.23/0.55  % (6857)Success in time 0.174 s
%------------------------------------------------------------------------------